https://neckpinch.com/authors/nicholas-cheng-hoong-chin/New arXiv papers by Nicholas Cheng-Hoong Chin, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1812.02396/arxiv:1812.02396Thu, 06 Dec 2018 00:00:00 GMTNicholas Cheng-Hoong Chin, Frederick Tsz-Ho Fong, Jingbo Wan — It has been known in that round spheres are the only closed homothetic self-similar solutions to the inverse mean curvature flow and parabolic curvature flows by degree -1 homogeneous functions of principle curvatures in the Euclidean space. In this article, we prove that the round sphere is rigid in much stronger sense, that under some natural conditions such as star-shapedness, it is the only closed solution to the inverse mean curavture flow and the above-mentioned flows in the Euclidean space which evolves by diffeomorphisms generated by conformal Killing fields.Mean curvature flowOther curvature flowsInverse mean curvature flowHomogeneous spacesStability & uniqueness